|The DF-21A "carrier killer" ballistic missile has been brought up before. Fox has an article today:
Hypothetical question: if china could indeed get this to work (likely a big 'if'), would its successful use (i.e. sinking of a US carrier) prompt the US to resort to a nuclear response or would the US simply cede the oceans and send its surface fleet home, leaving only long range bombers and submarines to retaliate with conventional weapons.
Alternatively, would the US likey absorb the blow, proceed and trust its fleet BM defense systems, assuming the first simply represented unpreparedness?